Question
Find the prime factorization of number 82472.
Answer
The prime factorization of 82472 is:
$$ 82472 = 2\cdot2\cdot2\cdot13\cdot13\cdot61 $$Which is the same as :
$$ 82472 = 2^{3}\cdot13^{2}\cdot61 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 82472 can be written as 2 × 41236. |
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| 41236 can be written as 2 × 20618. |
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| 20618 can be written as 2 × 10309. |
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| 10309 can be written as 13 × 793. |
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| 793 can be written as 13 × 61. |
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| The end nodes are the prime factors of the number 82472. |
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